A Method to Generate New Exact Solutions from a Known Stationary Solution

Chin. Phys. Lett.

1999, Vol. 16

Issue (5): 313-315 DOI:

Original Articles

A Method to Generate New Exact Solutions from a Known Stationary Solution

LIU Zeng-rong;HUANG De-bin

Departement of Mathmatics, Shanghai University, Shanghai 201800 also LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080

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LIU Zeng-rong, HUANG De-bin 1999 Chin. Phys. Lett. 16 313-315

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Abstract By combining the Backlund transformations and the AKNS system [Study in Appl. Math. 53 (1974) 249.] which is a linear eigenvalue problem of the corresponding evolution equation, a method to find new exact solutions from known stationary solutions for nonlinear integrable equations is proposed. As an example, Korteweg de Vries (KdV) equation is used to illustrate this method, and a class of new exact solutions of KdV equation is obtained.

Keywords: 02.30.Jr 02.30.Hq

Published: 01 May 1999

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Hq	(Ordinary differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1999/V16/I5/0313

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